830976 has 40 divisors (see below), whose sum is σ = 2217864. Its totient is φ = 276480.

The previous prime is 830957. The next prime is 830981. The reversal of 830976 is 679038.

It is a happy number.

It is a super-2 number, since 2×830976² = 1381042225152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1266 + ... + 1806.

2⁸³⁰⁹⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108932).

830976 is an abundant number, since it is smaller than the sum of its proper divisors (1386888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

830976 is an equidigital number, since it uses as much as digits as its factorization.

830976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 830976 is about 911.5788501276. The cubic root of 830976 is about 94.0147856627.

Adding to 830976 its product of nonzero digits (9072), we get a palindrome (840048).

It can be divided in two parts, 8309 and 76, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 830976 in words is "eight hundred thirty thousand, nine hundred seventy-six".